16.4.2.3. Case 3: Vertices of Degree at Least 5

If there exists a vertex \(v\) of degree at least \(5\), then we use the standard branching rule, which makes two recursive calls on inputs \((G-v, k-1)\) and \((G - N[v], k-|N(v)|)\). Since \(|N(v)| \ge 5\), this case has the branching vector \((1,5)\), which results in a branching number no greater than 1.33.